﻿ Maths Exam

### Maths Exam

1. Simplify 1

 Simplify the following expression: $$2(-4)1 - \left(5 + -4\right)\left(1 + 4\right)$$ Correct Answer $$-13$$ or -13.0000

2. Simplify 2

 Simplify the following expression: $$\frac{6 - -6 + \frac{1}{5}}{2{4}^{-6}}$$ Correct Answer $$\frac{124928}{5}$$ or 24985.6

3. Fractions 1

 Simplify the following expression: $$\frac{3}{4} - \frac{5}{3}$$ Correct Answer $$\frac{-11}{12}$$ or -0.9166666666666667

4. Fractions 2

 Simplify the following expression: $$\frac{\frac{4}{2}}{\frac{-2}{3}}$$ Correct Answer $$-3$$ or -3.0

5. Significant figures

 1 Write the following to 5 significant figures: 5753.8249Correct Answer 5753.8 or $$5.7538\times10^{3}$$ 2 Write the following to 5 significant figures: 114.92833Correct Answer 114.93 or $$1.1493\times10^{2}$$

6. Standard Form

 1 Write the following in standard form to 3 significant digits: 40.5031Correct Answer $$4.05\times10^{1}$$ 2 Write the following in standard form to 4 significant digits: 0.0121855Correct Answer $$1.219\times10^{-2}$$

7. Significant figures

 1 Write the following in preferred standard form to 2 significant digits: 0.0000005792Correct Answer $$580\times10^{-9}$$ 2 Write the following in preferred standard form to 3 significant digits: 0.000017530Correct Answer $$17.5\times10^{-6}$$

8. Simplify 2

 Simplify the following expression: $$2\frac{-4}{2}\left(\frac{-5}{-6} + {(-2)}^{5}\right)$$ Correct Answer $$\frac{374}{3}$$ or 124.667

9. Simplify 1

 Simplify the following expression: $$2(-3)(-2)\left(2 - 2 - -6(-1)\right)$$ Correct Answer $$-72$$ or -72.0000

10. Simplify 2

 Simplify the following expression: $${\left(5 + -6\right)}^{2} - \frac{(-3)}{2 + -4}$$ Correct Answer $$\frac{-1}{2}$$ or -0.500000

## Experimental Flying Game

Fly around in a plane. Some physics, but mainly just playing with websockets. If you can get a friend to play at the same time, you should be able to shoot each other down.

## Benzene QMC Gallery

A gallery of images from an attempt to model the benzene ground state using a variational and diffusion monte carlo method.